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Finding the Fourth Proportional to 349,361.30, 523,668.30 and 180,711.92

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Solution

The fourth proportional to 349,361.30, 523,668.30 and 180,711.92 is: 270,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,361.30 : 523,668.30 = 180,711.92 : x
  2. Step 2: Convert to fraction form
    349,361.30/523,668.30 = 180,711.92/x
  3. Step 3: Cross multiply
    349,361.30x = 523,668.30 × 180,711.92
  4. Step 4: Simplify right side
    349,361.30x = 94,633,103,936.14
  5. Step 5: Solve for x
    x = 94,633,103,936.14/349,361.30
  6. Step 6: Final answer
    x = 270,874.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.